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Finding the Fourth Proportional to 584.75, 806.20 and 363.32

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Solution

The fourth proportional to 584.75, 806.20 and 363.32 is: 500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.75 : 806.20 = 363.32 : x
  2. Step 2: Convert to fraction form
    584.75/806.20 = 363.32/x
  3. Step 3: Cross multiply
    584.75x = 806.20 × 363.32
  4. Step 4: Simplify right side
    584.75x = 292,906.67
  5. Step 5: Solve for x
    x = 292,906.67/584.75
  6. Step 6: Final answer
    x = 500.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.